Advertisements
Advertisements
Question
Is it possible to have a regular polygon whose exterior angle is: 100°
Advertisements
Solution
Let no. of. sides = n
Each exterior angle = 100°
= `360^circ/"n" = 100^circ`
∴ n = `360^circ/100^circ`
n = `18/5`
Which is not a whole number.
Hence, it is not possible to have a regular polygon whose each exterior angle is 100°.
RELATED QUESTIONS
Find the number of sides in a regular polygon, if its interior angle is: 135°
Is it possible to have a regular polygon whose interior angle is:
138°
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
If the difference between the exterior angle of a 'n' sided regular polygon and an (n + 1) sided regular polygon is 12°, find the value of n.
The sum of interior angles of a regular polygon is thrice the sum of its exterior angles. Find the number of sides in the polygon.
Find a number of side in a regular polygon, if it exterior angle is: 30°.
Is it possible to have a regular polygon whose interior angle is: 155°
What is the measure of each interior angle of a regular hexagon?
A regular polygon has each exterior angle measuring 40°. How many sides does it have?
Which formula correctly represents the sum of interior angles of an n-sided polygon?
